A269733 First differences of A269729.

1, 1, 1, 1, 3, 3, -5, 3, 3, -5, 3, 3, 8, 8, -13, 8, 8, -13, 8, -13, 8, 8, -13, 8, 8, -13, 8, -13, 8, 8, -13, 8, 8, 21, 21, -34, 21, 21, -34, 21, -34, 21, 21, -34, 21, 21, -34, 21, -34, 21, 21, -34, 21, -34, 21, 21, -34, 21, 21, -34, 21, -34, 21, 21, -34, 21, 21, -34, 21, -34, 21, 21, -34, 21, -34, 21, 21, -34, 21, 21

Offset: 0

Author

N. J. A. Sloane, Mar 08 2016

Keywords

• sign
• easy

Comments

John Conway remarks that he can explain why the terms of this sequence are (up to sign) Fibonacci numbers.

References

• J. H. Conway, Postings to Math Fun Mailing List, Nov 25 1996 and Dec 02 1996.

Links

• Jean-François Alcover, Plot of differences
• J. H. Conway, Allan Wechsler, Marc LeBrun, Dan Hoey, N. J. A. Sloane, On Kimberling Sums and Para-Fibonacci Sequences, Correspondence and Postings to Math-Fun Mailing List, Nov 1996 to Jan 1997

Crossrefs

Cf. A269729.

Programs

Maple

[seq(A269729(n),n=0..120)] ;
DIFF(%) ; # R. J. Mathar, May 08 2019

Extensions

More terms from R. J. Mathar, May 08 2019